Assignment 6 Sx-1, -7

Q: The iction f(x) is defined below. What is the end behavior of f(x)? f (x) = 30x - 6x + 252x 864 as x…

A: We will find the end behavior.

Q: 14) f(x) = 2xe-X %3D

A: Given: fx=2xe-x we know that at maxima derivative of given function has to be zero and derivative…

Q: nction f(x) = find f-1(x). 3x+2 2+x

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Q: relative extremum/ extrema OF the Find the fC x,y) - x ²- 2 Function y t 2

A: The discriminant is calculated using the formula, D=fxxfyy-fxy2. For any point, x, y, if D>0,…

Q: [(5x-12)dx]/[(x^3)-(6x^2)+(8x)]

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Q: (x' +1)dx (x + 2)(x– 1)’

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Q: che area of the shaded region. f(x) = -x' +x +16x 30 g(x) = -4x (4, 16) 20 (-3. -12) -20- -30

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Q: Continuity At what points of ℝ2 are the following functions continuous?

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Q: 4. y- /25 – x, y-0, x- 2, x-4: about the x-axis 5. x- 2y. x- 0, y = 9: about the y-axis

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Q: Limit of a solution Evaluate lim y(t), where y is the solution of the initial value problem y' (t)…

A: Here given as y't=sec yt2⇒dydt=sec yt2⇒dysec y=dtt2 ⇒cos y dy=dtt2 .......1

Q: lim f(x) = -∞ x-2- lim, f(x) = 0 x--2+ lim f(x) =-3+ %3D X00 f(-7) = 3 f'(-4) = 0 f(-6) = 0 f'(-1) =…

A: The expression limx→-2-f(x)=-∞, limx→-2+f(x)=∞ shows that x=-2 is a horizontal asymptote. The…

Q: Maxima/Minima Classify all the critical point(s) of f(x, y) = 2a³ + 6x} – 3y3 – 150acd maximum and…

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Q: maximum revenue. R, then find the revenue.

A: For part (a) We have to find out the price for maximum revenue. The revenue function is given…

Q: Investi gate for maxima and minima the function f(x) =[{2(r-1)(t-2) +(y-1)°(t-2)}}dt

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Q: Identifying homogenous or non homogenous functions.  Show your complete solution. when x=0, y=3…

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Q: QI Find f'(2) for (x³ – x)(x² + 2)(x² +x – 1) f(x) = %3D x + 2

A: Here I am attaching image so that you understand each and every step.

Q: arbitrary constant elimination

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Q: The function f - decreasing on the interval (- 0,-2) u (0,2) (-1,0)U (1, 00) B (- 00,-1)u (0,1) .C…

A: f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on Interval

Q: -x³ +10x² – 5x +15 dx 2. x’(x² +5)

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Q: lim (x,y)-(0,0) x-y+2√x-2√√y √x - √y a) √2 b) 0 c) 2 d) -√2

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Q: reflection across x = 3 %3D

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Q: Rirst partial derivatives uction (d) Fund all the followring filietiana 3/2 (a)

A: Partial derivative of a function fx,y are given by differentiating with respect to one variable and…

Q: x(z – 2y)100 = yz + x; Yx and x,.

A: Solution is given below:

Q: Tential eauation system ransform theor em + X - 4セ+キ %3D

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Q: ٥.V2= 15, a = 0.05, and F critical value = 2.33. Find V1:

A: Given that Critical value of at 0.05 level of significance and at df = (v1, 15) is given by 2.33

Q: slope slope = slope = 1 d) y= -2x+ 1 e) y= -3x+ 3 f) y=1.5x - 1 y y y 1 -1 1 2 coefficient of x:…

A: Have to fill the table . find the change in y and slope

Q: Minimum sum Find positive numbers x and y satisfying the equation xy = 12 such that the sum 2x + y…

A: Given xy=12S=2x+y

Q: Optimization  area of  height= x , length= 21-2x , width= 5-2x  A= f(x) A= XY  what is the maximum,…

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Q: sensitivity analysis Max z = 3x,+ 2x2 s. to x, + 2x,56 (raw material A) 2X +X2 S8 (raw material B)…

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Q: Solution: 1. Critical Value = A Number of products to be tested %3D

A: The confidence level is 83% From the normal distribution the critical value be:   Thus, the…

Q: Finding critical points Find the critical points of ƒ(x, y) = xy(x - 2)(y + 3).

A: Given equation is: f(x,y)=xy(x-2)(y+3) Calculate the critical points.

Q: w-limit set I Let xo E X be an equilibrium point. Show that w(xo) = {xo}.

A: w limit set :A simpler example of a w-limit set is a periodic orbit. Any periodic orbit of a map is…

Q: Determain the area encloesed by the Curve り=2ら -x* , ancl ysX +!3

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Q: First Derivative f(x,) – f(x,-1) 2h Error f'(x) = -f(x,) + 8ƒ(x,.) – 8ƒ(x}-1) + ƒ(x_-2) 12h f(x) =…

A: The required table is,

Q: tch the graph of the function. x^3-x^2                 Find the area of the region bounded by the…

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Q: Filling in a function value The domain of ƒ(x, y) = e-1/(x2 + y2) excludes (0, 0). How should ƒ be…

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Q: cost -dt is a solution of the first- Vt (ii). Show that the function y = Vx Jï dy order ODE 2.x y =…

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Q: ing f(x) 2- -1 4 f(0) = f(x) = 0, x = %3D f(0) f-(x) = 0, æ = nut 2)

A: Please see the explanation below

Q: Solve y′ = y^3cos x

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Q: Increasing: Decreasing: Local Max %3D

A: Given Graph

Q: Finding area under the curve, y = 3x2 + x + 2  Between these 2 points,  x = -3  x = -1

A: To Finding area under the curve, y = 3x2 + x + 2  Between these 2 points,  x = -3 and x = -1  A =…

Q: cost limz t2

A: According to our company policy, we are supposed to answer only first question. For the rest please…

Q: Basic Catalus 1. f(x)- f(xth) = 5 (x +h) - Sx - 3 lim 5(x+h)-3- [5x-3] = lim 56 +5h -3 - 5% +½ h-70…

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Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: Using Cranes's rule Salve the sgsten of equalion 3x+2y-Z=1 X-Y+5Z=-2 2X +y =3

A: The given system of equation is…

Q: Integration by Substitution

A: Substitute 2x+1=t

Q: Find the area of the shaded region. 49- y=49-x² 35- 21- 7- اتنا -17-1 -21- -35- -49- F3 5 th Fo Q Q…

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Q: CHAIN RULE DERIVATIVES glx) = (2 -7x)" %3D 2.) G) - 52 3) y- (6+5t-t) 4.),9(x) = (4u* – eu

A: As per guidelines we can solve only one question at a time so the derivative of first  question can…

Q: QI: Find the value of the constant K if the function 4-x S(x)={3-V +5 K is continuous at x=2. x=2

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Q: Secant method - Apply one iteration of the secant method to find the roof of f(x)=exp(-x)-x with…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.